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Fock space representations of quantum affine algebras and generalized Lascoux-Leclerc-Thibon algorithm

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arxiv math/0208204 v1 pith:4O52WCEP submitted 2002-08-27 math.QA

Seok-Jin Kang , Jae-Hoon Kwon This is my paper · ORCID
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We construct the Fock space representations of classical quantum affine algebras using combinatorics of Young walls. We also show that the crystal graphs of the Fock space representations can be realized as the abstract crystal consisting of proper Young walls. Finally, we give a generalized version of Lascoux-Leclerc-Thibon algorithm for computing the global bases of the basic representations of classical quantum affine algebras.

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  1. A Specht Filtration of Permutation Modules Over KLR Algebras

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    The paper constructs Specht filtrations of permutation modules for hook partitions in affine type A, for two-row partitions in type A-infinity, and generalized Specht filtrations with Specht resolutions for arbitrary ...

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